TY - JOUR

T1 - Kinematic-wave model of viscous fingers with mixing layer

AU - Chesnokov, A. A.

AU - Yu Liapidevskii, V.

AU - Stepanova, I. V.

N1 - Funding Information: The work is supported by Russian Science Foundation (project 15-11-20013).

PY - 2017/10/22

Y1 - 2017/10/22

N2 - A new one-dimensional kinematic model of viscous fingers growth is proposed. This model is based on the assumption of an intermediate layer formation. The shear instability of the flow is developed in this layer due to intensive mixing of liquids of different viscosities. The thickness of the intermediate layer between outer ones is determined by the velocity difference in the layers. The results of the calculation of the growth rate of the fingers in the framework of this model are in a good agreement with the calculations carried out on the basis of more general two-dimensional equations as well as with the known Koval model.

AB - A new one-dimensional kinematic model of viscous fingers growth is proposed. This model is based on the assumption of an intermediate layer formation. The shear instability of the flow is developed in this layer due to intensive mixing of liquids of different viscosities. The thickness of the intermediate layer between outer ones is determined by the velocity difference in the layers. The results of the calculation of the growth rate of the fingers in the framework of this model are in a good agreement with the calculations carried out on the basis of more general two-dimensional equations as well as with the known Koval model.

KW - HELE-SHAW CELL

KW - MISCIBLE DISPLACEMENTS

KW - POROUS-MEDIA

KW - STABILITY

KW - FLOWS

UR - http://www.scopus.com/inward/record.url?scp=85033236531&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/894/1/012107

DO - 10.1088/1742-6596/894/1/012107

M3 - Article

AN - SCOPUS:85033236531

VL - 894

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

M1 - 012107

ER -